Abstract: Using the classical Uzawa method and modified Hermitian and SkewHermitian splitting (MHSS) iterative method, we proposed a new Uzawa-MHSS iterative method for solving a class of complex singular saddlepoint problems. We obtained the semiconvergence theroem of the new method, and analyzed its semiconvergence. Numerical experiments show that the new iterative method is more effective than the classical Uzawa method and MHSS method to solve the saddlepoint problems.

Key words: semi-convergence, complex singular saddle-point problem, Uazwa method; MHSS iterative method